DSC1630 ASSIGNMENT 3 SEMESTER 1 SOLUTIONS 2022

2022

DSC1630-INTRODUCTORY
FINANCIAL MATHEMATICS




SEMESTER 1
ASSIGNMENT 03 SOLUTIONS
UNIQUE NUMBER 179653

, 1. 𝑈𝑠i𝑛𝑔 𝐻𝑃 𝐶𝑎𝑙𝑐𝑢𝑙𝑎𝑡𝑜𝑟

¬ 𝐶𝐿𝑅 𝐴𝐿𝐿

25 000 ± 𝑃𝑀𝑇

7,5 𝐼/𝑌𝑅

6 ¬ 𝑃/𝑌𝑅

6 ¬ × 𝑃/𝑌𝑅

𝑁 = 36

𝑃𝑅𝐸𝑆𝑆 𝑃𝑉 = 𝑅721 181, 68 𝑂𝑝𝑡i𝑜𝑛 [2]



𝑅
2. 𝑃=
i

18 000
𝑃 = 0,114
( )
4

𝑃 = 𝑅631 579 𝑂𝑝𝑡i𝑜𝑛 [3]




3. R631 579
i= 10,95%




now 4 years 9 years




X 2X 3X


0,1095 12×4 0,1095 −12×5 0,1095 12×4
X (1 + ) + 2X + 3X (1 + ) = 631 579 (1 + )
12 12 12